LCM of 237, 822, 376, 282
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 237, 822, 376, 282 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 237, 822, 376, 282. So, keep reading to learn more.
Given numbers are 237,822,376,282
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 237,822,376,282 is 12208344.
Find LCM of 237,822,376,282 with Prime Factorization
| 2 | 237, 822, 376, 282 |
| 3 | 237, 411, 188, 141 |
| 47 | 79, 137, 188, 47 |
| 79, 137, 4, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 47 x 79 x 137 x 4 x 1 = 12208344
Therefore, the lowest common multiple of 237,822,376,282 is 12208344.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
237 x 822 x 376 x 282 = 20656518048
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
237 : 1, 3, 79, 237
822 : 1, 2, 3, 6, 137, 274, 411, 822
376 : 1, 2, 4, 8, 47, 94, 188, 376
282 : 1, 2, 3, 6, 47, 94, 141, 282
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 237,822,376,282, is 1.
Now, the common factors can be found like this.
237:3x 79
822:2x 3x 137
376:2x 2x 2x 47
282:2x 3x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 47 = 1692
Therefore, the value for common factors is 1692.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 20656518048/(1x1692)
LCM = 20656518048/1692
LCM = 12208344
Thus, we can understand that the LCM of 237,822,376,282 is 12208344.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 237, 822, 376, 282
1. What is the LCM of 237, 822, 376, 282?
Answer: LCM of 237, 822, 376, 282 is 12208344.
2. How to calculate the LCM of 237, 822, 376, 282?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 237, 822, 376, 282.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.